Martin is considered the expressions 1/2(7x + 48) and -(1/2x - 3) + 4(x + 5). He wants to know if one expressions is greater tha

Question

3 years ago

12

Martin is considered the expressions 1/2(7x + 48) and -(1/2x - 3) + 4(x + 5). He wants to know if one expressions is greater tha

n the other for all values of x.
Write a new expression that always has a greater value than both of these expressions.

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Mathematics

2 answers:

Cerrena [4.2K] · Answer 1 · 2022-02-03T14:15:02+03:00

Cerrena [4.2K]3 years ago

8 0

1/2(7x + 48) = 3.5x + 24

-(1/2x - 3) + 4(x + 5) = -0.5x + 3 + 4x + 20 = 3.5x + 23

Dennis_Churaev [7] · Answer 2 · 2022-02-03T12:40:44+03:00

Dennis_Churaev [7]3 years ago

4 0

1/2(7x + 48) = 3.5x + 24


-(1/2x - 3) + 4(x + 5) = -0.5x + 3 + 4x + 20 = 3.5x + 23

So yes, 1/2(7x + 48) will always have higher value.


new expression that always has a greater value than both of these expressions is: 3.5x + 25